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Finding the Fourth Proportional to 431,675.49, 647,402.79 and 127,998.66

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Solution

The fourth proportional to 431,675.49, 647,402.79 and 127,998.66 is: 191,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,675.49 : 647,402.79 = 127,998.66 : x
  2. Step 2: Convert to fraction form
    431,675.49/647,402.79 = 127,998.66/x
  3. Step 3: Cross multiply
    431,675.49x = 647,402.79 × 127,998.66
  4. Step 4: Simplify right side
    431,675.49x = 82,866,692,508.02
  5. Step 5: Solve for x
    x = 82,866,692,508.02/431,675.49
  6. Step 6: Final answer
    x = 191,965.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.